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520361664 = 26319672129
BaseRepresentation
bin11111000001000…
…001011011000000
31100021011010000020
4133001001123000
52031203033124
6123345053440
715616000254
oct3701013300
91307133006
10520361664
11247804469
12126327280
1383a64014
144d176264
1530a3b379
hex1f0416c0

520361664 has 112 divisors (see below), whose sum is σ = 1471574400. Its totient is φ = 161796096.

The previous prime is 520361617. The next prime is 520361671. The reversal of 520361664 is 466163025.

It is a super-2 number, since 2×5203616642 = 541552522721697792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243352 + ... + 245480.

Almost surely, 2520361664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735787200).

520361664 is an abundant number, since it is smaller than the sum of its proper divisors (951212736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

520361664 is a wasteful number, since it uses less digits than its factorization.

520361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 520361664 is about 22811.4371314041. The cubic root of 520361664 is about 804.3315382263.

The spelling of 520361664 in words is "five hundred twenty million, three hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 228 268 304 402 456 536 608 804 912 1072 1216 1273 1608 1824 2129 2144 2546 3216 3648 3819 4258 4288 5092 6387 6432 7638 8516 10184 12774 12864 15276 17032 20368 25548 30552 34064 40451 40736 51096 61104 68128 80902 81472 102192 121353 122208 136256 142643 161804 204384 242706 244416 285286 323608 408768 427929 485412 570572 647216 855858 970824 1141144 1294432 1711716 1941648 2282288 2588864 2710217 3423432 3883296 4564576 5420434 6846864 7766592 8130651 9129152 10840868 13693728 16261302 21681736 27387456 32522604 43363472 65045208 86726944 130090416 173453888 260180832 520361664